yield_slip_residue.cc

The yield slip problem – residue computation

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "projection.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-12;
bool sym = (argc > 2) && (string(argv[2]) == "-symmetric") ? true : false;
Float S, n, Cf, r;
field uh, lambda_h;
din >> catchmark("S") >> S
>> catchmark("n") >> n
>> catchmark("Cf") >> Cf
>> catchmark("r") >> r
>> catchmark("u") >> uh
>> catchmark("lambda") >> lambda_h;
space Xh = uh.get_space();
space Wh = lambda_h.get_space();
geo omega = Xh.get_geo();
geo boundary = omega["boundary"];
trial u(Xh), lambda(Wh);
test v(Xh), mu(Wh);
form m = integrate (u*v),
a = integrate (dot(grad(u),grad(v))),
mb = integrate (lambda*mu),
b = integrate (boundary, u*mu);
field lh = integrate(v);
field r_lambda_h;
if (!sym) {
r_lambda_h = interpolate(Wh,
uh["boundary"] - compose(projection(S,n,Cf), lambda_h));
} else {
field beta_h = lambda_h + r*uh[boundary];
field mr_lambda_h = b*uh - integrate(mu*compose(projection(S,n,Cf,r), beta_h));
r_lambda_h = field(Wh);
problem pmb (mb);
pmb.solve (mr_lambda_h, r_lambda_h);
}
field mruh = a*uh - lh + b.trans_mult(lambda_h);
field ruh(Xh);
problem pm (m);
pm.solve (mruh, ruh);
ruh["boundary"] = 0;
Float residue_u = sqrt(dual(mruh,ruh));
Float residue_lambda = sqrt(mb(r_lambda_h, r_lambda_h));
dout << "residue_u = " << residue_u << endl
<< "residue_lambda = " << residue_lambda << endl;
Float residue = max(residue_u, residue_lambda);
return (residue <= tol) ? 0 : 1;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
rheolef::field
field_basic< Float > field
see the field page for the full documentation
Definition: field.h:419
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
mkgeo_ball.n
int n
Definition: mkgeo_ball.sh:150
mkgeo_contraction.mu
mu
Definition: mkgeo_contraction.sh:193
mkgeo_sector.m
m
Definition: mkgeo_sector.sh:118
mkgeo_ugrid.boundary
int boundary
Definition: mkgeo_ugrid.sh:181
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef::compose
details::field_expr_v2_nonlinear_node_nary< typename details::function_traits< Function >::functor_type,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition: compose.h:246
rheolef::dual
rheolef::std enable_if ::type dual const Expr1 expr1, const Expr2 expr2 dual(const Expr1 &expr1, const Expr2 &expr2)
Definition: field_expr.h:260
residue
field residue(Float p, const field &uh)
Definition: p_laplacian_post.cc:35
projection.h
The projection for yield-stress rheologies e.g. the yield slip problem.
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
lambda
Definition: yield_slip_circle.h:34
projection
Definition: projection.h:27
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26
main
int main(int argc, char **argv)
Definition: yield_slip_residue.cc:29